Homework Helper Lesson 7 The Distributive Property

Name
Number and Operations in Base Ten
5.NBT.5
Lesson 7
The Distributive
Property
Homework Helper
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At a petting zoo, 29 students each paid $2 to pet the
animals. Use mental math and the Distributive Property
to find how much money was paid altogether.
Write 29 as 20 + 9.
2 × 29 = 2 × (20 + 9)
Apply the Distributive Property.
= (2 × 20) + (2 × 9)
Multiply.
= 40 + 18
Add.
= 58
So, the students spent $58 at the petting zoo.
Practice
Copyright © The McGraw-Hill Companies, Inc.
Find each product mentally using the Distributive Property.
Show the steps that you used.
1. 4 × 48 =
2. 3 × 67 =
3. 6 × 18 =
4. 8 × 74 =
Lesson 7 My Homework123
Problem Solving
5. A bookshelf in Deirdre’s living room has 4 shelves.
There are 12 books on each shelf. How many books
are on the bookshelf altogether?
e
v
o
l
I read!
to
6. Jorge is collecting baseball cards. He has 29 stacks
of 4 cards. How many cards does he have altogether?
3
7.
Justify Conclusions The Distributive Property
also combines subtraction and multiplication. For example,
3 × (5 - 2) = (3 × 5) - (3 × 2). Explain how you could use the
Distributive Property and mental math to find 5 × 198.
Vocab
Fill in each blank with the correct term or number to complete
the sentence.
8. The Distributive Property combines
and
to make multiplying whole numbers simpler.
Test Practice
9. Susana collected 5 cents at the recycling plant for each of her 78 cans.
How much money did she collect altogether?
A
$0.39
C
$3.90
B
$3.50
D
$39.00
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